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Finding the Fourth Proportional to 6,837.05, 9,435.22 and 3,852.81

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Solution

The fourth proportional to 6,837.05, 9,435.22 and 3,852.81 is: 5,316.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,837.05 : 9,435.22 = 3,852.81 : x
  2. Step 2: Convert to fraction form
    6,837.05/9,435.22 = 3,852.81/x
  3. Step 3: Cross multiply
    6,837.05x = 9,435.22 × 3,852.81
  4. Step 4: Simplify right side
    6,837.05x = 36,352,100.34
  5. Step 5: Solve for x
    x = 36,352,100.34/6,837.05
  6. Step 6: Final answer
    x = 5,316.93

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.